Discrete alpha-skew-Laplace Distribution

Alamatsaz, M. H. Harandi, S. Shams

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Discrete alpha-skew-Laplace Distribution - RP:2425

Handle:

https://hdl.handle.net/20.500.11797/RP2425

Autor/es de la URV:	Alamatsaz, M. H. Harandi, S. Shams
Año de publicación de la revista:	2015

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Descripción:	Classical discrete distributions rarely support modelling data on the set of whole integers. In this paper, we shall introduce a flexible discrete distribution on this set, which can, in addition, cover bimodal as well as unimodal data sets. The proposed distribution can also be fitted to positive and negative skewed data. The distribution is indeed a discrete counterpart of the continuous alpha-skew-Laplace distribution recently introduced in the literature. The proposed distribution can also be viewed as a weighted version of the discrete Laplace distribution. Several distributional properties of this class such as cumulative distribution function, moment generating function, moments, modality, infinite divisibility and its truncation are studied. A simulation study is also performed. Finally, a real data set is used to show applicability of the new model comparing to several rival models, such as the discrete normal and Skellam distributions.
Cobertura:	eng
Títol:	Discrete alpha-skew-Laplace Distribution
Materia:	Discrete Laplace distribution, discretization, maximum likelihood estimation, uni-bimodality, weighted distribution.
Formato:	application/pdf
Autor:	Alamatsaz, M. H. Harandi, S. Shams
Tipo:	SORT:ART info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article
Fecha:	2015
Editor:	Universitat Rovira i Virgili Universitat de Lleida Universitat de Girona Universitat Pompeu Fabra Universitat Politècnica de Catalunya Universitat Autònoma de Barcelona Universitat de Barcelona Institut d'Estadística de Catalunya

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